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Yazar "Muslih, Sami I." için Fen - Edebiyat Fakültesi listeleme

Yazar "Muslih, Sami I." için Fen - Edebiyat Fakültesi listeleme

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  • Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives 
    Rabei, Eqab M.; Rawashdeh, Ibrahim M.; Muslih, Sami I.; Baleanu, Dumitru (Springer/Plenum Publishers, 2011-05)
    The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic ...
  • Hamilton-Jacobi formulation of systems within Caputo's fractional derivative 
    Rabei, Eqab M.; Almayteh, Ibtesam; Muslih, Sami I.; Baleanu, Dumitru (IOP Publishing Ltd, 2008-01)
    A new fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered. ...
  • Hamiltonian formulation of classical fields within Riemann-Liouville fractional derivatives 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab (Royal Swedish Acad Sciences, 2006-05)
    The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail
  • Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives 
    Muslih, Sami I.; Baleanu, Dumitru (Academic Press INC Elsevier Science, 2005-04-15)
    The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are ...
  • Heisenberg's equations of motion with fractional derivatives 
    Rabei, Eqab M.; Tarawneh, Derar M.; Muslih, Sami I.; Baleanu, Dumitru (Sage Publications Ltd, 2007-10)
    Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One of the important applications of fractional variational principles ...
  • Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives 
    Baleanu, Dumitru; Muslih, Sami I. (IOP Publishing LTD, 2005-08)
    The classical fields with fractional derivatives are investigated by using the fractional Lagrangian forniulation. The fractional ELder-Lagrange equations were obtained and two examples were studied.
  • Lagrangian formulation of Maxwell's field in fractional D dimensional space-time 
    Muslih, Sami I.; Sadallah, Madhat; Baleanu, Dumitru; Rabei, Eqab M. (Editura Acad Romane, 2010)
    The Lagrangian formulation for field systems is obtained in fractional space-time fractional dimensions D = D(space) + D(time). The equations of motion for Maxwell's field are obtained. It is shown that the form of Maxwell's ...
  • Mandelbrot scaling and parametrization invariant theories 
    Muslih, Sami I.; Baleanu, Dumitru (Editura Academiei Romane, 2010)
    Fractional variational principles have gained considerable importance during the last decade due to their applications in several areas of sciences and engineering. In this paper we will adapt this variational principle ...
  • Nonconservative systems within fractional generalized derivatives 
    Baleanu, Dumitru; Muslih, Sami I. (Sage Publications Ltd, 2008-09)
    A fractional derivative generalizes an ordinary derivative, and therefore the derivative of the product of two functions differs from that for the classical ( integer) case ; the integration by parts for Riemann-Liouville ...
  • On fractional dynamics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Asme-Amer Soc Mechanical Engineering, 2010-10)
    Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian ...
  • On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. (Springer, 2008-07)
    Fractional mechanics describe both conservative and nonconservative systems. The fractional variational principles gained importance in studying the fractional mechanics and several versions are proposed. In classical ...
  • On fractional Hamilton formulation within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M. (Amer Soc Mechanical Engineers, 2008)
    The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles ...
  • On fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Editura Acad Romane, 2011)
    The fractional constrained systems possessing only first class constraints are analyzed within Caputo fractional derivatives. It was proved that the fractional Hamilton-Jacobi like equations appear naturally in the process ...
  • On fractional Schrodinger equation in alpha-dimensional fractional space 
    Eid, Rajeh; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E. (Pergamon-Elsevier Science, 2009-06)
    The Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to 1/r(beta-2), 2 <= beta <= 4. The wave functions are studied in terms of spatial dimensionality alpha and beta ...
  • On fractional variational principles 
    Baleanu, Dumitru; Muslih, Sami I. (Springer, 2007)
    The paper provides the fractional Lagrangian and Hamiltonian formulations of mechanical and field systems. The fractional treatment of constrained system is investigated together with the fractional path integral analysis. ...
  • Path integral quantization of brownian motion as mechanical systems with fractional derivatives 
    Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru (2006)
    In this paper, the mechanical systems with fractional derivatives are studied by using fractional formalism. The path integral quantization of these system is constructed as an integration over the canonical phase space. ...
  • Quantization of classical fields with fractional derivatives 
    Muslih, Sami I.; Baleanu, Dumitru (Soc Italiana Fisica, 2005-05)
    The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The path integral formulation for Dirac field with fractional derivatives of order 2/3 and a non-relativistic particle ...
  • Quantization of fractional systems using WKB approximation 
    Rabei, Eqab M.; Muslih, Sami I.; Baleanu, Dumitru (Elsevier Science, 2010-04)
    The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy ...
  • Solutions of a fractional Dirac equation 
    Muslih, Sami I.; Agrawal, Om P.; Baleanu, Dumitru (2010)
    This is a short version of a paper on the solution of a Fractional Dirac Equation (FDE). In this paper, we present two different techniques to obtain a new FDE. The first technique is based on a Fractional Variational ...
  • Solutions of massless conformal scalar field in an n-dimensional Einstein space 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Jagiellonian Univ Press, 2008-04)
    In this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are ...